{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import beta\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.rcParams['figure.figsize']=(7,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=np.array([0.1,1.0,2.0,8.0])\n",
    "b=np.array([0.1,1.0,3.0,4.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.1 0.1\n",
      "1.0 1.0\n",
      "2.0 3.0\n",
      "8.0 4.0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x76be748>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (new_a,new_b) in zip(a,b):\n",
    "    print(new_a,new_b)\n",
    "    x = np.linspace(beta.ppf(0.0001,new_a,new_b),\n",
    "                   beta.ppf(0.9999,new_a,new_b),100)\n",
    "    plt.plot(x,beta.pdf(x,new_a,new_b),label='a={},b={}'.format(new_a,new_b))\n",
    "ax = plt.gca()\n",
    "ax.set_ylim((0,3))\n",
    "ax.set_xlim((0,1))\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
